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Finite-difference computations of high reynolds number flows using the dynamic subgrid-scale model

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Abstract

The dynamic subgrid-scale model is used in finite-difference computations of turbulent flow in a plane channel, for a range of Reynolds numbers (based on friction velocity and channel half-width) between 200 and 5000. Adoption of approximate wall boundary conditions allows the use of very coarse grids in all directions. The comparison of first- and second-order moments with the reference data is satisfactory, despite the mesh coarseness. Turbulent kinetic energy budgets also compare well with DNS data. Near the wall, the dynamic formulation gives improved results over the Smagorinsky model, as observed in previous simulation. In the core of the flow where, at high Reynolds number, the turbulent eddies obey inertial-range dynamics, the Smagorinsky and dynamic models give similar results. The behavior of the model, its implementation when approximate wall boundary conditions are used, and the effect of numerical resolution are discussed.

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Authors and Affiliations

  1. von Karman Institute for Fluid Dynamics, Environmental and Applied Fluid Dynamics Department, Chaussée de Waterloo 72, 1640, Rhode St Génèse, Belgium

    Elias Balaras & Carlo Benocci

  2. Department of Mechanical Engineering, University of Maryland, 20742, College Park, MD, U.S.A.

    Ugo Piomelli

Authors
  1. Elias Balaras
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  2. Carlo Benocci
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  3. Ugo Piomelli
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Additional information

Communicated by M.Y. Hussaini

Elias Balaras acknowledges the financial support provided by the European Economic Community under Grant ERBCHDICT930257. Ugo Piomelli was partially supported by the Office of Naval Research under Grant N0001491J1638.

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Balaras, E., Benocci, C. & Piomelli, U. Finite-difference computations of high reynolds number flows using the dynamic subgrid-scale model. Theoret. Comput. Fluid Dynamics 7, 207–216 (1995). https://doi.org/10.1007/BF00312363

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  • DOI: https://doi.org/10.1007/BF00312363

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